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3 years ago

PLZ HELP!!! 20 POINTS!!! 1. Solve the system of equations by graphing: x + y = 3

Mathematics

1 answer:

sveticcg [70]3 years ago

6 0

First you need to fix the equation in order to graph.
x + y = 3
Subtract x from both sides.
y = -1x + 3
Now graph.
(Whenever there is a variable by itself there is always a 1 in front of it.)
There is a site called desmos that can help↓

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A pack of folders has a length of 5 inches, a width of 12 inches, and a height of 1 inch. The pack of folders will be shipped in

777dan777 [17]

Answer:

A) Each pack of folders has a volume of 60 cubic inches.

B) The box has a volume of about 720 cubic inches

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

Verify each statement

A) Each pack of folders has a volume of 60 cubic inches.

The statement is True

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

B) The box has a volume of about 720 cubic inches

The statement is True

Because

The volume of the box is equal to the volume of one pack of folders multiplied by 12

$V=(12)60=720\ in^{3}$

C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches

The statement is False

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}$

$900\ in^{3}\neq 1,200\ in^{3}$

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

The statement is True

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}$

$1,200\ in^{3}= 1,200\ in^{3}$

E) Each pack of folders has a volume of 24 cubic inches.

The statement is False

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

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3 years ago

The safe load for a certain horizontal beam used to hold up part of a building varies inversely as the length between the

Misha Larkins [42]

The statement is true.

Answer: Option 1.

Explanation:

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A horizontal beam is used to hold a building up right and to give the support to the building. But the length of the horizontal beam differs in an inverse way between the supports.

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3 years ago

Use integration by parts to find the integrals in Exercise. ∫(x+6)ex dx.

skelet666 [1.2K]

Answer:

$xe^x+5e^x$